{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#| hide\n",
    "!pip install -Uqq nixtla"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#| hide \n",
    "from nixtla.utils import in_colab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#| hide \n",
    "IN_COLAB = in_colab()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#| hide\n",
    "if not IN_COLAB:\n",
    "    from nixtla.utils import colab_badge\n",
    "    from dotenv import load_dotenv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Predictions intervals\n",
    "\n",
    "We can generate prediction intervals using the `level` parameter in the `forecast` method. It takes any values between 0 and 100, including decimal numbers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "[![](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/Nixtla/nixtla/blob/main/nbs/docs/capabilities/forecast/10_prediction_intervals.ipynb)"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#| echo: false\n",
    "if not IN_COLAB:\n",
    "    load_dotenv()\n",
    "    colab_badge('docs/capabilities/forecast/10_prediction_intervals')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from nixtla import NixtlaClient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "nixtla_client = NixtlaClient(\n",
    "    # defaults to os.environ.get(\"NIXTLA_API_KEY\")\n",
    "    api_key = 'my_api_key_provided_by_nixtla'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> 👍 Use an Azure AI endpoint\n",
    "> \n",
    "> To use an Azure AI endpoint, remember to set also the `base_url` argument:\n",
    "> \n",
    "> `nixtla_client = NixtlaClient(base_url=\"you azure ai endpoint\", api_key=\"your api_key\")`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#| hide\n",
    "if not IN_COLAB:\n",
    "    nixtla_client = NixtlaClient()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:nixtla.nixtla_client:Validating inputs...\n",
      "INFO:nixtla.nixtla_client:Preprocessing dataframes...\n",
      "INFO:nixtla.nixtla_client:Inferred freq: MS\n",
      "INFO:nixtla.nixtla_client:Restricting input...\n",
      "INFO:nixtla.nixtla_client:Calling Forecast Endpoint...\n"
     ]
    },
    {
     "data": {
      "image/png": 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AAAAAAAAAAAAAwMXR4AEAAAAAAAAAAAAAAODiaPAAAAAAAAAAAAAAAABwcf8Hbjx20ulUJXQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 2400x350 with 1 Axes>"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read the data\n",
    "df = pd.read_csv(\"https://raw.githubusercontent.com/Nixtla/transfer-learning-time-series/main/datasets/air_passengers.csv\")\n",
    "\n",
    "# Forecast using a 80% confidence interval\n",
    "forecast_df = nixtla_client.forecast(\n",
    "    df=df,\n",
    "    h=12,\n",
    "    time_col='timestamp',\n",
    "    target_col=\"value\",\n",
    "    level=[80]\n",
    ")\n",
    "\n",
    "# Plot predictions with intervals\n",
    "nixtla_client.plot(\n",
    "    df=df, \n",
    "    forecasts_df=forecast_df, \n",
    "    time_col='timestamp', \n",
    "    target_col='value',\n",
    "    level=[80]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> 📘 Available models in Azure AI\n",
    ">\n",
    "> If you are using an Azure AI endpoint, please be sure to set `model=\"azureai\"`:\n",
    ">\n",
    "> `nixtla_client.forecast(..., model=\"azureai\")`\n",
    "> \n",
    "> For the public API, we support two models: `timegpt-1` and `timegpt-1-long-horizon`. \n",
    "> \n",
    "> By default, `timegpt-1` is used. Please see [this tutorial](https://docs.nixtla.io/docs/tutorials-long_horizon_forecasting) on how and when to use `timegpt-1-long-horizon`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For more details on uncertainty quantification, read our tutorials on using [quantile forecasts](https://docs.nixtla.io/docs/tutorials-quantile_forecasts) and [prediction intervals](https://docs.nixtla.io/docs/tutorials-prediction_intervals)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "python3",
   "language": "python",
   "name": "python3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
